What is factor 12x^5-8x^4+20x^3 ?

The solution to factor 12x^5-8x^4+20x^3 is 4x^3(3x^2-2x+5)

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factor 12x^5-8x^4+20x^3

factor

12 x^{5} - 8 x^{4} + 20 x^{3}

4 x^{3} (3 x^{2} - 2 x + 5)

Solution steps

12 x^{5} - 8 x^{4} + 20 x^{3}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{4} = x x^{3}

= 12 x^{2} x^{3} - 8 x x^{3} + 20 x^{3}

Rewrite

12

4 \cdot 3

Rewrite

8

4 \cdot 2

= 4 \cdot 3 x^{2} x^{3} - 4 \cdot 2 x x^{3} + 4 \cdot 5 x^{3}

Factor out common term

4 x^{3}

= 4 x^{3} (3 x^{2} - 2 x + 5)

(- 1, 8), (3, - 4)

f (x) = (3 x^{3} - 4) (- 4 x - 3)

y = cos (x), y = 0.5

\int_{- 10}^{10} x e^{- x^{8}} d x

sin (\frac{x}{2})

What is factor 12x^5-8x^4+20x^3 ?
The solution to factor 12x^5-8x^4+20x^3 is 4x^3(3x^2-2x+5)